Practice Definition - 18.X.1 | 18. Binomial Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Definition

18.X.1 - Definition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Binomial Distribution used for?

💡 Hint: Think about the outcomes in trials.

Question 2 Easy

Define a Bernoulli Trial.

💡 Hint: Consider a coin flip.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Binomial Distribution model?

Probability of failure
Number of successes in trials
Expected value of random variable

💡 Hint: What are we counting in such a distribution?

Question 2

Is variance of a binomial distribution dependent on the probability of success?

True
False

💡 Hint: Consider the formula for variance.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A drug manufacturer claims that 95% of their products pass quality control. If a supermarket tests 10 products, what is the probability that at least 8 pass?

💡 Hint: Remember to sum the probabilities for at least k successes.

Challenge 2 Hard

You conduct an experiment that involves rolling a die 12 times. What is the probability of rolling a five exactly 3 times?

💡 Hint: Identify n, k, and p before applying the formula.

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